Mathematical Physics


About Physical Inadequacy of the Three-Dimensional Navier-Stokes Equation for Viscous Incompressible Fluid

Authors: Preobrazhenskiy Andrey

ABSTRACT. This paper deals with the analysis of physically possible constructions of a viscous incompressible fluid model. Physical principles that allow to create the only possible construction of this model were found. The new model does not use new constants that characterize properties of the fluid and coincides with the Stokes model only in the plane case. Within the framework of this model, new equations for fluid motion were obtained. The new equations coincide with Navier-Stokes system in the plane case, but do not coincide in the three-dimensional one. The model makes it possible to see why the three-dimensional Navier-Stokes equations cannot physically adequately describe fluids motion, and obliquely confirms the finite time for the existence of its regular solutions.

Comments: 13 Pages.

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Submission history

[v1] 2017-05-24 01:33:15
[v2] 2017-05-27 09:01:13
[v3] 2017-06-19 04:02:19

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